A system of equations is given by

$\begin{aligned} ax + by &= 5 \\ cx + dy &= -1. \end{aligned}$

If the inverse of $\left[ \begin{array}{cc} a & b \\ c & d \end{array} \right]$ is $\left[ \begin{array}{cc} 3 & 2 \\ -3 & 1 \end{array} \right]$, then what is $x + y?$

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